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Non-simultaneous quenching in a system of heat equations coupled at the boundary

✍ Scribed by Raúl Ferreira; Arturo de Pablo; Fernando Quirós; Julio D. Rossi

Book ID
105766923
Publisher
Springer
Year
2006
Tongue
English
Weight
189 KB
Volume
57
Category
Article
ISSN
0044-2275

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Under some natural hypothesis on the matrix P"(p GH ) that guarrantee the blow-up of the solution at time ¹, and some assumptions of the initial data u G , we find that if "" x """1 then u G (x , t)goestoinfinitylike(¹!t) G /2 , where the G (0 are the solutions of (P!Id) ( , )R"(!1, !1)R. As a corol